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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 3, Pages 519–541
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000716 (Mi im1153) 		 
This article is cited in 149 scientific papers (total in 149 papers)

Representable functors, Serre functors, and mutations

A. I. Bondal, M. M. Kapranov
English version PDF (1329 kB) Citations (149)
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DOI: https://doi.org/10.1070/IM1990v035n03ABEH000716
Abstract: This paper studies the categorical version of the concept of mutations of an exceptional set, as used in the theory of vector bundles. The basic object of study is a triangulated category with a family of subcategories satisfying the so-called admissibility condition. A natural notion arising here is that of a Serre functor, effecting a certain duality in the triangulated category.
Bibliography: 16 titles.
Received: 21.06.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 6, Pages 1183–1205
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14F05, 18E30; Secondary 18F20
Language: English
Original paper language: Russian
Citation: A. I. Bondal, M. M. Kapranov, “Representable functors, Serre functors, and mutations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:6 (1989), 1183–1205; Math. USSR-Izv., 35:3 (1990), 519–541
Citation in format AMSBIB
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\paper Representable functors, Serre functors, and mutations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 6
\pages 1183--1205
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\jour Math. USSR-Izv.
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    • This publication is cited in the following 149 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:3211
    Russian version PDF:1284
    English version PDF:205
    References:160
    First page:1
     
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